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Finding the Fourth Proportional to 356.54, 491.87 and 282.56

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Solution

The fourth proportional to 356.54, 491.87 and 282.56 is: 389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.54 : 491.87 = 282.56 : x
  2. Step 2: Convert to fraction form
    356.54/491.87 = 282.56/x
  3. Step 3: Cross multiply
    356.54x = 491.87 × 282.56
  4. Step 4: Simplify right side
    356.54x = 138,981.03
  5. Step 5: Solve for x
    x = 138,981.03/356.54
  6. Step 6: Final answer
    x = 389.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.